To solve for R in Ohm's Law, you can rearrange the formula to isolate R on one side of the equation. To solve for R, you can divide both sides of the equation by I:
R = E/I
This rearranged formula shows that the resistance R is equal to the voltage E divided by the current I. For example, if you have a voltage of 10 volts and a current of 2 amperes, the resistance would be 5 ohms:
R = 10 volts / 2 amperes = 5 ohms
Let's prep ourselves before attempting to answer the question. What do we need to know?
We'll need to know a couple of basic concepts before we tackle the problem. Namely, we'll need these ones:
What are equality properties? These are the equality properties:
From the problem, we are given Ohm's Law, which is E = IR. The problem states that it wants to solve this equation for R.
In order to solve Ohm's Law for R, we can use the Division Property of Equality. What does this property state? It states that if you divide something (number, variable, etc.) on one side, you must do the same for the other.
Now, let's apply this property to find our answer. We divide by I on both sides to isolate R:
[tex]\displaystyle\begin{aligned}E & = IR \\IR & = E \\\frac{IR}{I} & = \frac{E}{I} \\R & = \boxed{ \frac{E}{I} } \\\end{aligned}[/tex]
[tex]\displaystyle \boxed{ R = \frac{E}{I} }[/tex]
Hope this helped!
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